LeetCode 808: Soup Servings Solution
Master LeetCode problem 808 (Soup Servings), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.
808. Soup Servings
Problem Explanation
Explanation
To solve this problem, we can use dynamic programming with memoization. We can define a recursive function to simulate each operation and calculate the probabilities of different outcomes. We will keep track of the probabilities of reaching each state (remaining soup of type A and type B) and avoid recalculating the same states by using memoization.
The key idea is to track the probabilities of reaching each state and recursively calculating the probabilities of reaching the final states where soup A is empty first or both soups are empty at the same time.
- Time complexity: O(n^2)
- Space complexity: O(n^2)
Solution Code
class Solution {
public double soupServings(int n) {
if (n >= 5000) return 1.0;
double[][] memo = new double[n+1][n+1];
return dp(n, n, memo);
}
private double dp(int a, int b, double[][] memo) {
if (a <= 0 && b <= 0) return 0.5;
if (a <= 0) return 1.0;
if (b <= 0) return 0.0;
if (memo[a][b] > 0) return memo[a][b];
memo[a][b] = 0.25 * (dp(a-100, b, memo) + dp(a-75, b-25, memo) + dp(a-50, b-50, memo) + dp(a-25, b-75, memo));
return memo[a][b];
}
}Try It Yourself
Loading code editor...
Related LeetCode Problems
Frequently Asked Questions
How to solve LeetCode 808 (Soup Servings)?
This page provides optimized solutions for LeetCode problem 808 (Soup Servings) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.
What is the time complexity of LeetCode 808 (Soup Servings)?
The time complexity for LeetCode 808 (Soup Servings) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.
Can I run code for LeetCode 808 on DevExCode?
Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 808 in Java, C++, or Python.